Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5746j |
Isogeny class |
Conductor |
5746 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
3550060097792 = 28 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 2 -2 -2 -2 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9214,-331973] |
[a1,a2,a3,a4,a6] |
Generators |
[889:25919:1] |
Generators of the group modulo torsion |
j |
17923019113/735488 |
j-invariant |
L |
6.6578355373332 |
L(r)(E,1)/r! |
Ω |
0.48852351319147 |
Real period |
R |
1.7035606673869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45968u1 51714c1 442c1 97682o1 |
Quadratic twists by: -4 -3 13 17 |